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Simplifying 174 = -5x + 6(-3x + 6) Reorder the terms: 174 = -5x + 6(6 + -3x) 174 = -5x + (6 * 6 + -3x * 6) 174 = -5x + (36 + -18x) Reorder the terms: 174 = 36 + -5x + -18x Combine like terms: -5x + -18x = -23x 174 = 36 + -23x Solving 174 = 36 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 174 + 23x = 36 + -23x + 23x Combine like terms: -23x + 23x = 0 174 + 23x = 36 + 0 174 + 23x = 36 Add '-174' to each side of the equation. 174 + -174 + 23x = 36 + -174 Combine like terms: 174 + -174 = 0 0 + 23x = 36 + -174 23x = 36 + -174 Combine like terms: 36 + -174 = -138 23x = -138 Divide each side by '23'. x = -6 Simplifying x = -6
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